00:01
Now this is as shown in the figure, the point a is here.
00:08
Point a is here.
00:11
And above point a, the water is filled up to a height edge.
00:18
After the water, they have filled a red oil.
00:24
And red oil is filled in the left arm, left arm of the main setup.
00:35
Also red oil is filled in the top arm top arm and red oil is also filled in the right arm of the setup right in the right arm of the setup the red oil is filled up to a point b1 and after b1 the mercury is filled up to point b or just below the point b the distance between point a and point b is 35 centimeter.
01:13
Height of water above point a is h, which we need to calculate.
01:21
And the distance between the separation point of mercury and red oil, b1, has a corresponding point a1 on the left arm.
01:35
So the distance between the separation of water and mercury, and the point a1 is 18 cm.
01:46
Specific gravity of water, we know it is one.
01:51
For red oil it is given as in 0 .8 to 7 and for mercury it is 13 .6.
01:57
And it is given that pressure at point b minus pressure at point a is equal to 97 kilo -pascal.
02:06
It means 97 into 1000 pascal.
02:11
With this data, we need to find out the height h.
02:15
Now we consider the line a1 b1.
02:19
Consider this line.
02:21
On this line, above point a1, red oil is filled and above point b1 also the red oil is filled.
02:32
So what is the hydrostatic pressure at point a1 is the hydrostatic pressure of red oil of say height x, right? x height of red oil similarly the hydrostatic means pressure at point b1 or we can call it it is also the x height of red oil x height of red oil why because from the top part the point b1 and point a a1 are at the same depth that is why they have the same hydrostatic pressure due to red oil so as the is same and the liquid is same and we know the hydrostatic pressure is h row g so if height is same liquid is same the hydrostatic pressure will be same so we can say the means pressure at point a 1 is equal to pressure at point b done now we proceed further what is the pressure at point a what is the miss pressure at point a we start means from top.
04:03
At point a, we have first pressure acting is pa1, which is the pressure of red oil of height x.
04:14
Second, we have the pressure of red oil of height 18 cm.
04:24
Then we have the pressure of water of height h.
04:29
Similarly, what is pressure at b? the pressure at b is equal to pb1 the pressure of red oil at point p1 which is acting like this this is pb1 and plus the pressure hydrostatic pressure of mincemercary of height 18 plus h and plus 35 right so we write the equation of p a and p b b p a will be p a will be p a one and say plus hydrostatic pressure of red oil of height 18 cm so that will be 0 .18 h .r.
05:17
G we know the hydrostatic pressure is hrog so here height is equal to 0 .18 and density is equal to specific gravity multiplied by 10 to 3 so it is in 0 .8 to 7 is the specific gravity multiplied by 10 to 3.
05:34
G is 9.
05:35
8.
05:37
This is hydrostatic pressure of red oil plus the hydrostatic pressure of water of height h...